E-DE02 · Simplification unlocks both derivatives
Let \(\displaystyle f(x)=\frac{x^2+6x+9}{\sqrt{x}}\), with \(x>0\).
Rewrite f as a sum of powers, then find \(f^{\prime}\).
Find and classify the stationary point using the first derivative.
Find \(f^{\prime\prime}(1)\) and the normal to the curve at its stationary point.
Complete-answer checking, worked solutions and indicative written criteria.
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